The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation | Zendy

Louis M. Houston | Zendy

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The Probability of a Confidence Interval Based on Minimal Estimates of the Mean and the Standard Deviation

Author(s) -

Louis M. Houston

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/131424

Subject(s) - confidence interval , standard deviation , cdf based nonparametric confidence interval , robust confidence intervals , mathematics , statistics , coverage probability , confidence distribution , tolerance interval , probability distribution , probability density function , credible interval , interval (graph theory) , confidence region , cumulative distribution function , combinatorics

Using two measurements, we produce an estimate of the mean and the sample standard deviation. We construct a confidence interval with these parameters and compute the probability of the confidence interval by using the cumulative distribution function and averaging over the parameters. The probability is in the form of an integral that we compare to a computer simulation

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